Home page  Catalogue  Classes  Tables  Glossary  Notations  Links  Bibliography  Thanks  Downloads  Related Curves 

too complicated to be written here. Click on the link to download a text file. 

X(30), X(74), X(399), X(1138), X(1511) reflection of X(1138) in X(1511) 

K614 ia central focal cubic with center and focus the midpoint X(1511) of X(3)X(110) and X(74)X(399). K614 and its isogonal transform generate a pencil of cubics, stable under isogonal conjugation, that contains the Neuberg cubic K001 and two decomposed cubics namely :
This pencil also contains one isogonal circular nK with focus X(74) and, more generally, the singular focus of any cubic of the pencil is a point on the line X(3), X(110) = singular focus of K001. 
